Atkin-Lehner |
3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6105f |
Isogeny class |
Conductor |
6105 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-457875 = -1 · 32 · 53 · 11 · 37 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11+ -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-111,416] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1:1] |
Generators of the group modulo torsion |
j |
-152615747584/457875 |
j-invariant |
L |
3.7144296234359 |
L(r)(E,1)/r! |
Ω |
2.9746820885495 |
Real period |
R |
0.62434060394789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97680bd1 18315p1 30525a1 67155j1 |
Quadratic twists by: -4 -3 5 -11 |